Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation

Liang, C.X. and Nimmo, J.J.C. (2008) Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 464(2092), pp. 951-966. (doi: 10.1098/rspa.2007.0321)

Abstract

Two families of solutions of a generalized non-Abelian Toda lattice are considered. These solutions are expressed in terms of quasideterminants, constructed by means of Darboux and binary Darboux transformations. As an example of the application of these solutions, we consider the 2-periodic reduction to a matrix sine-Gordon equation. In particular, we investigate the interaction properties of polarized kink solutions.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Liang, Mr Chunlei and Nimmo, Dr Jonathan
• Authors: Liang, C.X., and Nimmo, J.J.C.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences
• ISSN: 1364-5021
• ISSN (Online): 1471-2946